Discreteness of spectrum criteria for Schrodinger operators with non-negative polynomial or homogeneous potentials

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:424

Article

Navarro, Luis J.

关键词: Schrodinger operators;    Discrete spectrum;    Non-negative potentials;    Homogeneous potentials;   

DOI  :  10.1016/j.jmaa.2014.12.015

来源: Elsevier

【 摘 要 】

We consider Schrodinger operators -Delta+V (defined in L-2(R-n)) with non-negative potentials V which are either polynomials or homogeneous functions. We provide new yet simple necessary and sufficient conditions for the discreteness of spectrum of such Schrodinger operators. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free